Velocity Dispersion of the Lowest-Order Longitudinal Mode in Finite Rods of Square Cross Sections

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Abstract
The measured velocity dispersion of an isotropic square aluminium bar shows close agreement with that predicted by the modified theory of Nigro, except for one “displaced” harmonic which lies off the smooth graph, and another harmonic that is split into two resonances (a doublet). The displaced harmonic can be attributed to the proximity of an “end resonance,” and the doublet occurs at the frequency where the first complex mode becomes real for the equivalent cylinder.

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